circularArc3d

Computes a circular arc that passes through points in 3D space with a prescribed tangent vector.

% [circFun, rad, C, n] = circularArc3d(A,B,T)
%
% Construct a circle in 3D space that passes through points A and B and is
% tangent to T at point A.
%
% INPUTS:
% A = starting point
% B = ending point
% T = tangent vector at A
%
% OUTPUTS:
% circFun = @(t) = interpolates from A to B as t goes from 0 to 1
% rad = radius of the circular arc
% C = center of the circular arc
% n = unit normal to the plane that the circle lies in
%
% NOTES:
% If run without arguments, then this function will automatically
% call a test routine that visualizes the result of random data sets.
%